New
New
Year 5

# Use knowledge of area to solve problems in a range of contexts

I can use knowledge of area to solve problems in a range of contexts.

New
New
Year 5

# Use knowledge of area to solve problems in a range of contexts

I can use knowledge of area to solve problems in a range of contexts.

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## Lesson details

### Key learning points

1. To find the area of a rectangle you multiply the length by the width.
2. Compare different methods to decompose shapes and decide which is the most efficient.
3. Choose the most efficient calculation strategies to calculate the area of a compound rectilinear shape.

### Common misconception

Pupils may think that there is only one possible answer to some problems or only one way to solve a problem.

Discuss whether there is only one possible answer to a problem or if there are many solutions. Ensure that more than one approach to solving a problem is modelled where appropriate.

### Keywords

• Dimension - A dimension is a measure of length in one direction.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Starter quiz

### 6 Questions

Q1.
Match the pairs of numbers with a product 40.

8

40

10

20

Q2.
Which of these shapes are compound shapes?
A
C
Q3.
Look at this rectilinear compound shape. It is made up of 6 squares. Calculate the total area of the shape. A = cm².
Correct Answer: 54, 54 cm², 54 square centimetres, 54 centimetres squared
Q4.
This image is of the flag of Romania. It consists of three rectangles of equal size. Calculate the total area of one rectangle. A = cm².
Correct Answer: 48 , 48 cm², 48 square centimetres, 48 centimetres squared
Q5.
Calculate the area of this compound rectilinear shape. A = cm².
Correct Answer: 73, 73 cm², 73 square centimetres, 73 centimetres squared
Q6.
Choose an efficient method to calculate the area of this compound shape. A = cm².
Correct Answer: 36, 36 cm², 36 square centimetres, 36 centimetres squared

## Exit quiz

### 6 Questions

Q1.
This rectangle has an area of 30 cm². Match the dimensions that would give this area.

6 cm

3 cm

15cm

30 cm

Q2.
The area of a rectangular carpet is 40 m². One dimension is 8 m. What is the other dimension? m.
Correct Answer: 5 , 5 m, 5 metres
Q3.
Look at rectangles A and B. Which of the statements is correct?
The area of rectangle A is equal to the area of rectangle B.
Correct answer: The area of rectangle A is greater than the area of rectangle B.
The area of rectangle B is greater than the area of rectangle A.
Q4.
A square white paving slab has been placed on a square garden lawn. What is the area of lawn that can be seen? A = m².
Correct Answer: 364 , 364 m², 364 square centimetres3, 364 centimetres squared
Q5.
A small square is shown inside a larger rectilinear shape. Choose an efficient method to calculate the area of the rectilinear shape. A = cm².
Correct Answer: 108, 108 cm², 108 square centimetres, 108 centimetres squared
Q6.
Choose an efficient method to calculate the area of the rectilinear shape. A = cm²
Correct Answer: 100 , 100 cm², 100 square centimetres, 100 centimetres squared